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Finding the Fourth Proportional to 77,603.80, 116,211.30 and 51,165.40

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Solution

The fourth proportional to 77,603.80, 116,211.30 and 51,165.40 is: 76,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,603.80 : 116,211.30 = 51,165.40 : x
  2. Step 2: Convert to fraction form
    77,603.80/116,211.30 = 51,165.40/x
  3. Step 3: Cross multiply
    77,603.80x = 116,211.30 × 51,165.40
  4. Step 4: Simplify right side
    77,603.80x = 5,945,997,649.02
  5. Step 5: Solve for x
    x = 5,945,997,649.02/77,603.80
  6. Step 6: Final answer
    x = 76,619.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.